Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1
LIBER
SECUNDUS.
SECTIO IX.
De motu Circulari Fluidorum.
HYPOTHESIS.
REſiſtentiam, quæ oritur ex defectu lubricitatis partium Fluidi,
cæteris paribus, proportionalem eſſe velocitati, qua partes
Fluidi ſeparantur ab invicem.
PROPOSITION LI. THEOREMA XXXIX.
Si Cylindrus ſolidus infinite longus in Fluido uniformi & infinito
circa axem poſitione datum uniformi cum motu revolvatur, &
ab hujus impulſu ſolo agatur Fluidum in orbem, perſeveret
autera Fluidi pars unaquæque uniformiter in motu ſuo; dico
quod tempora periodica partium Fluidi ſunt ut ipſarum diſtantiæ
ab axe Cylindri.
Sit AFLCylindrus uNI­
200[Figure 200]
formiter circa axem Sin or­
bem actus, & circulis con­
centricis BGM, CHN,
DIO, EKP,&c.
diſtin­
guatur Fluidum in Orbes cy­
lindricos innumeros concen­
tricos ſolidos ejuſdem craſſi­
tudinis.
Et quoniam homo­
geneum eſt Fluidum, im­
preſſiones contiguorum Or­
bium in ſe mutuo factæ,
erunt (per Hypotheſin) ut
eorum tranſlationes ab invicem & ſuperficies contiguæ in quibus
impreſſiones fiunt.
Si impreſſio in Orbem aliquem major eſt vel

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